My Math Forum Rare Even in Pinochle game

 Probability and Statistics Basic Probability and Statistics Math Forum

 February 12th, 2019, 02:58 PM #1 Newbie   Joined: Feb 2019 From: San Diego Posts: 2 Thanks: 0 Rare Even in Pinochle game I am not an extremely experienced Pinochle player, but I would estimate that I have played thousands of hands. WhatvI am asking about seems extremely unlikely, and the answer that I got for this question seems questionable so.... I'm trying to determine the odds of a seemingly ultra rare event in a Pinochle game. I just don't know how to go about finding the answer. For clarification in case you are unfamiliar with the game, the deck consists of 80 cards: four each A, 10, K, Q, J in each of the four suits for a total of 20 clubs, 20 diamonds, 20 hearts and 20 spades. A "run" is A, 10, K, Q, J in the same suit. What are the odds, with 4 players that one player is dealt a double run (i.e.two runs of the same suit), and another player is dealt a run in the same suit in the same hand? In all the Pinochle hands that I have played, I can't remember anyone even getting a double run, let alone someone else also getting the same run. This is not for any academic work. This is just a unbelievable situation that happened in a card game with some friends. I wouldn't mind an explanation of the procedure to determine the answer if you have the time. Last edited by jk91977; February 12th, 2019 at 03:31 PM.
 February 13th, 2019, 12:57 PM #3 Global Moderator   Joined: May 2007 Posts: 6,768 Thanks: 699 This seems to be an unusual pinochle deck. The ones I played with had 9,10,J,Q,K,A twice in each suit for a deck of 48 cards
February 14th, 2019, 04:32 AM   #4
Newbie

Joined: Feb 2019
From: San Diego

Posts: 2
Thanks: 0

Quote:
I failed to mention that there are 20 cards in your hand.

 Tags game, pinochle, rare

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